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Finding the Fourth Proportional to 532,619.28, 734,997.96 and 290,898

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Solution

The fourth proportional to 532,619.28, 734,997.96 and 290,898 is: 401,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,619.28 : 734,997.96 = 290,898 : x
  2. Step 2: Convert to fraction form
    532,619.28/734,997.96 = 290,898/x
  3. Step 3: Cross multiply
    532,619.28x = 734,997.96 × 290,898
  4. Step 4: Simplify right side
    532,619.28x = 213,809,436,568.08
  5. Step 5: Solve for x
    x = 213,809,436,568.08/532,619.28
  6. Step 6: Final answer
    x = 401,430.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.